As is well known, a metric on a manifold determines a unique symmetric connection for which the metric is parallel: the Levi-Civita connection. In this paper we investigate the inverse problem: to what extent is the metric of a Riemannian manifold determined by its LeviCivita connection? It is shown that for a generic Levi-Civita connection of a metric h there exists a set of positive semi-defi...

EM1 associated with inter-board connection was studied through common-mode current measurements and FDTD modeling for stacked-card and module-on-backplane configurations. Three types of connections were investigated experimentally including an open pin field connection, an “ideal” semi-rigid coaxial cable connection, and a production connector. Both microstrip and stripline signal routing on th...

Abstract Currently, many buildings are constructed with precast concrete methods. However, they still use the cast in-situ method, especially for beam and column connection system where there some obstacles in casting process possibility of installing reinforcement bars on site not following design. Hence, is potential structural failure that part connection. To reduce constraints, it proposed ...

We study semi-stable ideal lattices coming from quadratic number fields. We prove that all ideal lattices of trace type from rings of integers of imaginary quadratic number fields are semi-stable. For real quadratic fields, we demonstrate infinite families of semi-stable and unstable ideal lattices, establishing explicit conditions on the canonical basis of an ideal that ensure stability; in pa...